I'm much further along on my research for a proposal to encode heterodox chess symbols. I asked about terms for rotations last November and was told that the terms in use in the standard are CLOCKWISE-ROTATED and ANTICLOCKWISE-ROTATED (e.g. U+29BC), but I wasn't sure I would be proposing the knights in intermediate 45 degree rotations. Now I believe I have sufficient evidence for their use in running text, which brings up the question of how to name them. In my current draft I'm using terms like BLACK 45 DEGREE CLOCKWISE-ROTATED CHESS KNIGHT and WHITE 135 DEGREE ANTICLOCKWISE-ROTATED CHESS KNIGHT for them. It seems awkward, but I can't think of any better naming convention. The precedent in arrows for terms like NORTH EAST doesn't seem applicable: chess symbols have defined bases but do not technically point in a direction. The SignWriting rotation modifiers aren't much help when it comes to naming, since they are just numbered. The clock faces use 30 degree increments.
Also, would it be useful to include a section on current practice, such as existing fonts and LaTeX?
